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Finding the Fourth Proportional to 427,579.20, 641,217.60 and 147,031.20

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Solution

The fourth proportional to 427,579.20, 641,217.60 and 147,031.20 is: 220,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,579.20 : 641,217.60 = 147,031.20 : x
  2. Step 2: Convert to fraction form
    427,579.20/641,217.60 = 147,031.20/x
  3. Step 3: Cross multiply
    427,579.20x = 641,217.60 × 147,031.20
  4. Step 4: Simplify right side
    427,579.20x = 94,278,993,189.12
  5. Step 5: Solve for x
    x = 94,278,993,189.12/427,579.20
  6. Step 6: Final answer
    x = 220,494.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.